Fill in the Blank 3 points Identify the two numbers that multiply to 28 and add to -16 square and square

Question

Answer 1

To solve this, we need to find two numbers that multiply to 28 and add to -16.### Step 1: Set up the equationsLet the two numbers be

and

. Then:

### Step 2: Solve for one variableFrom the second equation, solve for

in terms of

:

### Step 3: Substitute into the first equationSubstitute

into

:

Simplify:

Rearrange into standard quadratic form:

### Step 4: Solve the quadratic equationUse the quadratic formula:

where

,

, and

.Substitute these values:

### Step 5: Find the two solutionsSolve for the two possible values of

:1.

,2.

.Thus, the two numbers are **-2** and **-14**.### Final Answer:The two numbers are **-2** and **-14**.

Question